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Simplifying 4(x + -1) + -2(3x + -5) = -3x + -1 Reorder the terms: 4(-1 + x) + -2(3x + -5) = -3x + -1 (-1 * 4 + x * 4) + -2(3x + -5) = -3x + -1 (-4 + 4x) + -2(3x + -5) = -3x + -1 Reorder the terms: -4 + 4x + -2(-5 + 3x) = -3x + -1 -4 + 4x + (-5 * -2 + 3x * -2) = -3x + -1 -4 + 4x + (10 + -6x) = -3x + -1 Reorder the terms: -4 + 10 + 4x + -6x = -3x + -1 Combine like terms: -4 + 10 = 6 6 + 4x + -6x = -3x + -1 Combine like terms: 4x + -6x = -2x 6 + -2x = -3x + -1 Reorder the terms: 6 + -2x = -1 + -3x Solving 6 + -2x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + -2x + 3x = -1 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = -1 + 0 6 + 1x = -1 Add '-6' to each side of the equation. 6 + -6 + 1x = -1 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -1 + -6 1x = -1 + -6 Combine like terms: -1 + -6 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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